Year 5 Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Year 5 | Multiplication
☐ Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology.
Long Multiplication
Long Multiplication Worksheets
Test your Multiplication - Times Tables From 2 to 15
Reaction Math
☐ Understand how to multiply by negative numbers
Multiplying Negatives Makes A Positive
Multiplying Mixed Numbers
☐ Develop fluency with multiplication facts up to 12x
Definition of Times Tables
Ten Times Tables
Math Trainer - Multiplication
Multiplication Worksheets
Mixed Times Tables
Multiplication - Times Tables
Five Times Tables
Four Times Tables
Multiplication Tips and Tricks
Nine Times Tables
Eight Times Tables
Printable Multiplication Table
Printable Multiplication Table
Printable Multiplication Table - Small Size
Seven Times Tables
Six Times Tables
Test your Maths
Test your Multiplication - Times Tables From 2 to 15
Three Times Tables
Twelve Times Tables
Year 5 | Division
☐ Use a variety of strategies to divide three-digit numbers by one- and two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.
Division Worksheets
Fix the Equation
☐ Easily test if one number can be evenly divided by another by using divisibility rules.
Divisibility Rules (Tests)
Year 5 | Numbers
☐ Read and write whole numbers to millions
Place Value
Definition of Whole Number
Activity: Count to a Billion
☐ Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)
Prime Factorization Tool
Prime Numbers Chart
Prime and Composite Numbers
Prime Factorization
Definition of Prime Number
Definition of Composite Number
Prime Number List
Fundamental Theorem of Arithmetic
Prime Number Lists
Activity: Drawing Stars
☐ Calculate multiples of a whole number and the least common multiple of two numbers
Least Common Multiple
Least Common Multiple Calculator
Definition of Least Common Multiple
Least Common Denominator
☐ Identify the factors of a given number
All Factors of a Number
Definition of Factor
Prime Factorization
Fundamental Theorem of Arithmetic
Divisibility Rules (Tests)
Prime and Composite Numbers
Prime Factorization Tool
☐ Find the common factors and the greatest common factor of two numbers
Greatest Common Factor
Greatest Common Factor Tool
Definition of Greatest Common Factor
☐ Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses
Brackets (Parentheses)
Smart Blocks
Order of Operations - BODMAS
Order of Operations - PEMDAS
Definition of Order of Operations
Order of Operations Calculator
☐ Compare and order numbers to millions
Definition of Ordering
Ordering Numbers
Ordering Game
☐ Round numbers to the nearest hundredth and up to 10,000
Rounding Numbers
Definition of Rounding
☐ Understand the place value structure of the base ten number system: * 10 ones = 1 ten * 10 tens = 1 hundred * 10 hundreds = 1 thousand * 10 thousands = 1 ten thousand * 10 ten thousands = 1 hundred thousand * 10 hundred thousands = 1 million
Activity: Count to a Billion
Place Value
Definition of Place Value
Index Notation - Powers of 10
Year 5 | Decimals
☐ Compare decimals using <, >, or =
Equal, Less and Greater Than Symbols
Ordering Decimals
Definition of Ordering
Ordering Game
Compare Decimal Numbers 0 to 1
Compare Decimal Numbers: -1 to +1
Ordering Game
☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths
Adding Decimals
Dividing Decimals
Multiplying Decimals
Dividing Decimals Animations
Multiplying Decimals Animations
Subtracting Decimals
Decimal Worksheets
☐ Read, write, and order decimals to thousandths
Decimals
Ordering Game
Ordering Game
Ordering Decimals
Decimal Worksheets
Definition of Ordering
Compare Decimal Numbers 0 to 1
Compare Decimal Numbers: -1 to +1
Year 5 | Fractions
☐ Simplify fractions to lowest terms
Simplifying Fractions
Fraction Worksheets
Equivalent Fractions
Greatest Common Factor
☐ Convert improper fractions to mixed numbers, and mixed numbers to improper fractions
Improper Fractions
Mixed Fractions
Fraction Worksheets
Definition of Improper Fraction
Definition of Mixed Fraction
☐ Use a variety of strategies to add and subtract fractions with like denominators
Adding Fractions
Subtracting Fractions
Fraction Worksheets
Decimal Fraction Worksheets
Common Denominator
Using Rational Numbers
☐ Add and subtract mixed numbers with like denominators
Adding Fractions
Mixed Fractions
Adding and Subtracting Mixed Fractions
☐ Create equivalent fractions, given a fraction
Equivalent Fractions
Fraction Worksheets
Definition of Equivalent Fractions
Simplifying Fractions
Fractions
Least Common Denominator
Fraction Number Line
☐ Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.
Number Line
Compare Fractions
Comparing Fractions
Fraction Number Line
Ordering Game
Compare Unit Fractions
☐ Compare fractions using <, >, or =
Compare Unit Fractions
Compare Fractions
Comparing Fractions
Equal, Less and Greater Than Symbols
☐ Add, subtract, multiply and divide fractions (including mixed fractions) whose denominators are powers of ten - decimal fractions.
Decimal Fraction Worksheets
Reciprocal of a Fraction
☐ Divide a fraction by a whole number
Dividing Fractions By Whole Numbers
Year 5 | Percentages
☐ Understand that percent means part of 100, and write percents as fractions and decimals
Convert Decimals to Percents
Convert Percents to Decimals
Convert Percents to Fractions
Decimals, Fractions and Percentages
Introduction to Percentages
Percentage Calculator
Definition of Percent
Test Your Percentages
Convert Fractions to Percents
Year 5 | Ratios
☐ Understand the concept of ratio
Ratios
Ratio - Make Some Chocolate Crispies
Ratio - Chocolate Crispies Recipe
Definition of Ratio
☐ Express ratios in different forms
Ratios
Ratio - Make Some Chocolate Crispies
Ratio - Chocolate Crispies Recipe
Year 5 | Measurement
☐ Use a ruler to measure to the nearest centimeter or millimeter, or to the nearest inch, 1/2, 1/4 or 1/8 inch
US Standard Lengths
Definition of Ruler
Metric Length
Activity: Discover Lengths
Activity: Personal Measures
☐ Determine personal references for metric units of length, or US standard units of length
Metric Length
Measuring Metrically with Maggie
Metric Numbers
Metric System of Measurement
US Standard Lengths
Introduction to US Standard Units
Activity: Personal Measures
☐ Identify customary equivalent units of length (metric or US)
US Standard Lengths
Introduction to US Standard Units
Unit Conversion Tool
Metric Length
Measuring Metrically with Maggie
Metric System of Measurement
☐ Convert measurement within a given system
Conversion of Area
Conversion of Length
Unit Conversion Tool
Conversion of Volume
How to Safely Convert From One Unit to Another
☐ Determine the tools and techniques required to measure with an appropriate level of precision: lengths and angles
Accuracy and Precision
Definition of Ruler
Using a Protractor
Activity: Discover Lengths
☐ Measure and draw angles using a protractor
Using a Protractor
Definition of Protractor
Degrees (Angles)
Pie Chart
Activity: How High?
☐ Understand Temperature
Interactive Thermometer
Definition of Temperature
Definition of Thermometer
Definition of Fahrenheit
Definition of Celsius
Conversion of Temperature - Celsius to Fahrenheit
Introduction to US Standard Units
Year 5 | Time
☐ Calculate elapsed time in hours and minutes
Stopwatches
The Time - Converting AM/PM to 24 Hour Clock
Adding and Subtracting Time
Definition of Minute
Definition of Hour
Midnight
Hourglasses 1
Hourglasses 2 Puzzle
Activity: Count to a Billion
Year 5 | Geometry (Plane)
☐ Evaluate the perimeter formula for given input values
Definition of Perimeter
Perimeter
☐ Calculate the perimeter of regular and irregular polygons
Definition of Perimeter
Perimeter
Definition of Polygon
☐ Identify corresponding parts of congruent triangles
Congruent
How To Find if Triangles are Congruent
Definition of Congruent
Congruent Triangles
☐ Identify and draw lines of symmetry of basic geometric shapes
Geometry - Reflection
Symmetry - Reflection and Rotation
Symmetry Artist
Reflection Symmetry
Definition of Symmetry
Definition of Line Symmetry
Activity: Symmetry of Shapes
Lines of Symmetry of Plane Shapes
☐ Plot points to form basic geometric shapes (identify and classify)
Alien Mask From Coordinates
Diplodocus Using Coordinates
☐ Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
Perimeter
☐ Identify pairs of similar triangles
Similar
Definition of Similar
Similar Triangles
Sam Loyd's Juggler Puzzle
☐ Identify the ratio of corresponding sides of similar triangles
Similar Triangles
☐ Classify quadrilaterals by properties of their angles and sides
Interactive Quadrilaterals
Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
Definition of Quadrilateral
Definition of Square
Definition of Rectangle
Definition of Rhombus
Definition of Trapezoid
Definition of Parallelogram
Definition of Kite
☐ Know that the sum of the interior angles of a quadrilateral is 360°
Interior Angles of Polygons
Using a Protractor
Interactive Quadrilaterals
Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
☐ Classify triangles by properties of their angles and sides
Interactive Triangles
Triangles - Equilateral, Isosceles and Scalene
☐ Know that the sum of the interior angles of a triangle is 180°
Interior Angles of Polygons
Triangles Contain 180 Degrees
Interactive Triangles
Triangles - Equilateral, Isosceles and Scalene
☐ Find a missing angle when given two angles of a triangle
Interior Angles of Polygons
Triangles Contain 180 Degrees
Interactive Triangles
Triangles - Equilateral, Isosceles and Scalene
☐ Identify pairs of congruent triangles
Congruent
Definition of Congruent
Congruent Triangles
How To Find if Triangles are Congruent
☐ Know that a right angle is 90°, a straight angle is 180° and a full circle is 360°.
Right Angles
Supplementary Angles
Triangles Contain 180 Degrees
Degrees (Angles)
Straight Angles
Exterior Angle
Exterior Angles of Polygons
Interior Angle
☐ Understand what is meant by the order of rotational symmetry of a plane shape, and know how to find its value.
Rotational Symmetry
Point Symmetry
☐ Understand what is meant by regular and irregular polygons; convex and concave polygons; and complex polygons.
Polygons
Year 5 | Geometry (Solid)
☐ Understand the Platonic Solids
Spinning Cube (Hexahedron)
Spinning Dodecahedron
Spinning Icosahedron
Platonic Solids Construction Tips
Spinning Octahedron
Spinning Tetrahedron
Platonic Solids
Dodecahedron Net Template
Cube Model Template
Octahedron Model Template
Tetrahedron Model Template
Dodecahedron Model Template
Icosahedron Model Template
Fair Dice
Cube Net Template
Icosahedron Net Template
Octahedron Net Template
Polyhedrons
Tetrahedron Net Template
Activity: Investigating the Platonic Solids and other solids
☐ Construct models of the Platonic solids from their nets.
Cube Model Template
Tetrahedron Model Template
Octahedron Model Template
Dodecahedron Model Template
Icosahedron Model Template
Cube Net Template
Tetrahedron Net Template
Octahedron Net Template
Dodecahedron Net Template
Icosahedron Net Template
Pentomino Challenge
Pentomino Puzzle
Platonic Solids
Platonic Solids Construction Tips
Year 5 | Algebra
☐ Define and use appropriate terminology when referring to constants, variables, and algebraic expressions
Algebra - Definitions
Definition of Constant
Definition of Variable
Definition of Expression
Open Sentences
☐ Translate simple verbal expressions into algebraic expressions
Introduction to Algebra
Introduction to Algebra - Multiplication
Definition of Problem
☐ Substitute assigned values into variable expressions and evaluate using order of operations
Introduction to Algebra
Introduction to Algebra - Multiplication
Substitution
Order of Operations - BODMAS
Order of Operations - PEMDAS
Order of Operations Calculator
Brackets (Parentheses)
Open Sentences
☐ Solve simple one-step equations using basic whole-number facts
Balance when Adding and Subtracting
Introduction to Algebra
Introduction to Algebra - Multiplication
Math Match Game
Smart Blocks
Open Sentences
☐ Solve and explain simple one-step equations using inverse operations involving whole numbers
Inverse
Reciprocal
Reciprocal
Balance when Adding and Subtracting
Introduction to Algebra
Introduction to Algebra - Multiplication
Solving Equations
Open Sentences
☐ Create and explain patterns and algebraic relationships (example: 2,4,6,8... is algebraically 2n (doubling))
Sequences - Finding A Rule
Sequences
Number Sequences - Square, Cube and Fibonacci
Make your own Number Patterns
☐ Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)
Make your own Number Patterns
Definition of Pattern
Patterns
Shapes Freeplay
Activity: Make a Mandala
☐ Know the difference between a closed sentence and an open sentence.
Open Sentences
Year 5 | Data
☐ Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
What is Data?
Definition of Survey
☐ Display data in a line graph to show an increase or decrease over time
Data Graphs (Bar, Line, Pie)
Line Graphs
☐ Calculate the mean for a given set of data and use to describe a set of data
The Mean Machine
How to Calculate the Mean Value
Definition of Mean
Calculating the mean from a frequency table
Finding a Central Value
☐ Formulate conclusions and make predictions from graphs
Line Graphs
Activity: Parking Spaces
Year 5 | Estimation
☐ Justify the reasonableness of estimates
Estimation (Introduction)
Visual Estimation
Definition of Estimate
Estimation Tips and Tricks
☐ Estimate sums, differences, products, and quotients of decimals
Estimation (Introduction)
Estimation Games
Definition of Estimation
Definition of Estimate
☐ Justify the reasonableness of answers using estimation
Estimation (Introduction)
Estimation Tips and Tricks
Definition of Estimation
Definition of Estimate
Visual Estimation
Year 5 | Graphs
☐ Identify and plot points in the first quadrant
Alien Mask From Coordinates
Interactive Cartesian Coordinates
Diplodocus Using Coordinates
Definition of Quadrant (graph)
Definition of Point
Hit the Coordinate
Year 5 | Probability
☐ List the possible outcomes for a single-event experiment
Probability
The Spinner - Your Decision Maker
Activity: An Experiment with a Die
Activity: An Experiment with Dice
☐ Record experiment results using fractions/ratios
Probability
Ratio - Make Some Chocolate Crispies
Ratio - Chocolate Crispies Recipe
Ratios
Activity: An Experiment with a Die
Activity: An Experiment with Dice
☐ Create a sample space and determine the probability of a single event, given a simple experiment (e.g., rolling a number cube)
Random Words
Fair Dice
Probability Line
Probability
The Spinner - Your Decision Maker
Activity: An Experiment with a Die
Activity: An Experiment with Dice

 

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